What is the greatest perfect square that is a factor of 11250? Here we will show you how to find the greatest perfect square that is a factor of 11250.
The factors of 11250 are all of the integers that can be evenly divided into 11250. A perfect square is a product of an integer multiplied by itself.
To find the greatest perfect square that is a factor of 11250, we will list the factors of 11250, then list the perfect squares from the list of factors, and finally, we will pick the greatest perfect square from the list of perfect squares:
The factors of 11250: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 625, 750, 1125, 1250, 1875, 2250, 3750, 5625, 11250.
The perfect squares from the factor list: 1, 9, 25, 225, 625, 5625
The greatest perfect square from the perfect square list: 5625
Therefore, the greatest perfect square that is a factor of 11250 is 5625.
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